I actually have 1 declawed cat who spends most of her time outdoors. Needless to say she finds the bird 'boring' and dosn't bother it. She is 8 years old so she also lost kind of that playfulness.(Still never take them out at the same time for precaution)

When I foster cats(don't have any now) they all stay upstairs(the are 4 large rooms uphere so it makes it almost the size of a small apartement.) Downstairs(living room) is where I keep my birds.